unit inequalities homework 3

Math With Mrs. Molina

There are two things we must give children: the first one is roots and the other wings., unit 3: equations and inequalities, click here to go to the ixl website for all kinds of 8th grade topics and review problems..

What is an equation?

Examples: 4 + 3  = 7        or        3x + 5 = 10

An equation is a number sentence. We call it an equation because it has an equal sign.

The 5 Steps to Writing an Equation or Inequality

Step 1. read and  underline   the question, step 2. find your   χ  (your variable/unknown) and box it, step 3. circle the math words  (product, quotient, each,                per, together, sum, difference, squared ), step 4 . replace the operation words with their symbols (              • , + , – ,  ÷ , / , = , < , > , ≤ , ≥ ,√ , ≠ , ² , ³ ), step 5. write the equations.

  Don’t forget our cool ‘dance’ we did to remember this!

WRITING EQUATIONS PRACTICE PROBLEMS:

Click here  to practice Writing Equations online and get automatic feedback (it grades it)! 🙂

With Equations, Inequalities and Expressions we always want to combine like terms 1st!

Here is an example on how to do that:

Once all like terms have been combined then we can solve.

Solving Equations with Models

To create your own equations using models click here !

MODELING EQUATIONS PRACTICE PROBLEMS:

Click here  to practice Modeling Equations online and get automatic feedback (it grades it)! 🙂

Solving Equations Algebraically

Here is another example solving algebraically, solve √(x/2) = 3.

And the more “tricks” and techniques you learn the better you will get.

Here is an example of how we solved equations in class:

SOLVING EQUATIONS (with variables on both sides PRACTICE PROBLEMS:

Click here  or here  to practice Solving Equations online and get automatic feedback (it grades it)! 🙂

Systems of Equations

For information on systems of equations click here ., simple vs. compound  interest, introduction to interest :.

http://www.mathsisfun.com/money/interest.html

SIMPLE INTEREST

  I = Prt  

• I = interest owed  [$] (this is ONLY the interest borrowed)
• P = amount borrowed (called “Principal”)  [$]
• r = interest rate   [%] (you have to divide the percent by 100)  For information On Percents click here !
• t = time    [years]

Simple interest is money you can earn by investing some money (the principal). The interest (percent) is the rate that makes the money grow!

COMPOUND INTEREST

  A = P(1+r)^t  

• A = All of it / Actual / total amount owed (this amount includes the interest and the principal)   [$]
• P = amount borrowed (called “Principal”)    [$]
• r = interest rate     [%]

Compound interest is very similar to simple interest. The difference is that compound interest grows much faster ! The reason it grows faster is because the interest (percent) has an exponent .

********** MAKE SURE TO READ THE QUESTION AND SEE EXACTLY WHAT IT IS ASKING DOES IT JUST WANT THE INTEREST OR THE TOTAL (All of it) ???????? *************************

For information on compound interest click  here.

SIMPLE INTEREST PRACTICE PROBLEMS:

Click here  or here  to practice Simple Interest online and get automatic feedback (it grades it)! 🙂

COMPOUND INTEREST PRACTICE PROBLEMS:

Click here  or here  to practice Compound Interest online and get automatic feedback (it grades it)! 🙂

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• Contributors
• 1: Using IM Algebra
• 2: Frequently Asked Questions
• 1: Curriculum Components
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• A1 U0: Introduction to Algebra I
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• A1 U2: Linear and Exponential Functions
• A1 U3: Linear Equations and Inequalities in One Variable
• A1 U4: Linear Equations and Inequalities in Two Variables
• A1 U5: Quadratic Functions
• A1 U6: Quadratic Equations
• A1 U7: Statistics
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This is a PDF of all of the student handouts for the Unit 3 Core Resources. Note that this will only be updated once a year.

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Equations and Inequalities (Pre-Algebra - Unit 3) | All Things Algebra®

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Description

This Equations and Inequalities Unit Bundle includes guided notes, homework assignments, four quizzes, a study guide, and a unit test that cover the following topics:

• One-Step Equations

• Rational Equations

• Two-Step Equations

• Solving Equations by Square Roots

• Multi-Step Equations (Variables on One Side)

• Multi-Step Equations (Variables on Both Sides)

• Special Solutions: No Solution and Infinite Solution

• Solving Equations by Clearing Fractions

• Translating and Solving Equations

• Equation Word Problems

• Representing and Graphing Inequalities

• One- and Two-Step Inequalities

• Multi-Step Inequalities

• Translating and Solving Inequalities

• Inequality Word Problems

ADDITIONAL COMPONENTS INCLUDED:

(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

This resource is included in the following bundle(s):

Pre-Algebra Curriculum

More Pre-Algebra Units:

Unit 1 – The Real Numbers

Unit 2 – Algebraic Expressions

Unit 4 – Ratios, Proportions, and Percents

Unit 5 – Functions and Linear Representations

Unit 6 – Systems of Equations

Unit 7 – Geometry

Unit 8 – Measurement: Area and Volume

Unit 9 – Probability and Statistics

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

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Math 7 Unit 3: Equations & Inequalities

This unit includes 62 pages of guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the topics listed in the description below.

• Description
• Additional Information
• What Educators Are Saying

This unit contains the following topics:

• One-Step Equations with Addition and Subtraction • One-Step Equations with Multiplication and Division • One-Step Equations with Rational Numbers (Decimals and Fractions) • Translating One-Step Equations • One-Step Equation Word Problems • Two-Step Equations • Translating Two-Step Equations • Two-Step Equations Word Problems • Multi-Step Equations (Variables on One Side) • Multi-Step Equations (Variables on Both Sides) • Writing and Graphing Inequalities • Solving One-Step Inequalities • Solving Two-Step Inequalities • Translating One- and Two-Step Inequalities • One- and Two-Step Inequality Word Problems

This unit does not contain activities.

This is the guided notes, homework assignments, quizzes, study guide, and unit test only.  For suggested activities to go with this unit, check out the ATA Activity Alignment Guides .

This resource is included in the following bundle(s):

Math 7 Curriculum

License Terms:

This purchase includes a single non-transferable license, meaning it is for one teacher only for personal use in their classroom and can not be passed from one teacher to another.  No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.  A t ransferable license is not available for this resource.

Copyright Terms:

No part of this resource may be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

What standards is this curriculum aligned to?

What format are the files in, will i have access to materials if they are updated, are answer keys included, are videos included.

I love the notes. It keeps students engaged during the instructional part of each lesson. The videos provided have made a difference for my lower students. Now as a high school teacher, I use the worksheets as bell ringers for my students.

Bought this during my student teaching and ended up getting the rest of the curriculum! I love these units. I would print them as packets and use them as daily notes, practice and homework. So much to do and it made providing practice easy.

-SAMANTHA P.

This resource was very helpful in providing clear, concise and challenging practice for my students. It reviewed previously learnt concepts and then raise the level. Thank you for this engaging unit.

Milton’s Ryan Shea is part of an all-Hockey East pairing that has energized the resurgent Penguins

PITTSBURGH — The Steel City’s No. 3 defense pairing, with Ryan Shea on the left and Jack St. Ivany on the right, has been a gift from the Hockey East heavens, though neither blue liner made a direct skate from their respective college campuses to the Penguins’ blue line.

Shea, 27, grew up in Milton and played three years at BC High before a one-season tuneup with USHL Youngstown. Originally a Blackhawks draft pick, he turned pro as a free agent with the Stars after graduating from Northeastern in 2020, then joined the Penguins as a free agent last summer after three years of not getting a shot with the varsity Stars.

“It’s been a pretty long road to get here,” Shea said prior to facing his hometown Bruins for the first time. “Obviously, I didn’t get my opportunity in Dallas, even though I was playing pretty good hockey there. But that’s how the cookie crumbles sometimes — you’ve just got to be patient. I pretty much never gave up on my dream to play in the NHL.”

St. Ivany, a California kid from Manhattan Beach, began his college career at Yale, then transferred to Boston College after his sophomore season. Originally a Flyers draft pick, the 24-year-old was a free agent upon leaving the Heights in 2022, signed with the Penguins, and only recently was promoted from AHL Wilkes-Barre Scranton.

The infusion of youth on the back line, noted coach Mike Sullivan , has been a key element in helping boost the Penguins, who were 5-0-1 in their six April games prior to facing the Bruins. The recent hot streak had the team back in the hunt for one of the final two playoff spots in the Eastern Conference.

“We tried to sign him when he was coming out of college,” said Sullivan, the ex-Bruins bench boss, noting that Shea long had been on the club’s radar. “This time around, when we had the opportunity to sign him and add him to this group of defense, I was certainly excited. We had done some homework when he was coming out of Northeastern and then since he’s played at the American League level — he’s been one of the better defensemen at the AHL level in the role that he plays.”

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Shea’s game, not flashy, has been more that of a conservative, stay-at-home back liner, though in today’s game all defenseman are charged with more than just pushing guys away from their net. Sullivan refers to Shea as a “stabilizing” defenseman, one who can calm things down defensively and also help move pucks out of the defensive zone.

“He defends well … a calming force,” said Sullivan. “He makes good plays with the pucks. He has very deceptive moves and that helps us get pucks out of our end. He defends well with his stick, has good size [6 feet 2 inches, 200 pounds], good on the penalty kill, and that was the game we were hoping he was going to bring to our team.”

The Shea-St. Ivany duo ”has been real reliable for us,” added Sullivan, “and Ryan has been a big part of that … I think he is playing with more confidence this time around.”

Shea made his NHL debut with the Penguins in October and saw ample action through November before being returned to the AHL in early December. He’s only been a roster regular again since the start of April, which also coincides with that 5-0-1 run Pittsburgh took into the game here vs. the NHL’s other Black and Gold franchise.

“Honestly, it’s great,” said Shea, musing over what it meant to face the Bruins, the team he idolized as a kid growing up only a Red Line commute away from the Garden area. “You grow up watching the Bruins, guys like [Zdeno] Chara and [Patrice] Bergeron and guys even earlier, like [Johnny] Boychuk … the guys I liked to watch on the blue line. They brought a lot of joy to everyone in Mass. back in the day.”

Maroon part of power-play revamp

The Bruins’ power play, a bugaboo of late, rolled out with some changes here vs. the Penguins after going a low-pulse 2-for-27 over the nine previous games.

The most obvious twist had Pat Maroon , playing his first game in Black and Gold, manning the net front on the No. 2 unit, joined up front by Charlie Coyle and Danton Heinen . Kevin Shattenkirk , back for his first game action since April 2, returned to point duty, supported in large part by Morgan Geekie .

The first unit started the night with Jake DeBrusk among the shooters with regulars Brad Marchand , David Pastrnak , Pavel Zacha , and point man Charlie McAvoy . McAvoy entered the night with only one power-play goal all season (Nov. 18), but he had connected at even strength in each of the previous two games.

Per coach Jim Montgomery , the two power-play units for the most part operate under similar instructions, though some of the message is tailored to personnel as well as the time on ice each is allotted during a typical two-minute man advantage.

“It’s probably 60 percent the same message,” said Montgomery, “but we want the second unit to be more direct, because they’re not going to have as much time out there. We want more people and pucks to the net. Breakouts are a little bit different [between the two units]. That might be because of personnel, but also just a factor of time on the board.”

Shattenkirk, playing in only his 59th game of the season, entered the game with two power-play goals, the most of all Bruins defensemen this season. He had a familiar screener up front in Maroon. The two played together in Tampa in 2019-20 and have a Cup ring to prove it.

“We all know what he does and the strengths of his game,” said Shattenkirk. “A bit part of that [for Maroon] is being at the net front. I played with him at Tampa on the second power play. That was our M.O. to get pucks there. We know not only does he do a great job of screening, but he can make those little plays along the goal line, so again, I think he fits perfectly into the mold for what we are trying to do on our unit — he’s a great asset to have him slot in there.”

Cassidy leads Knights to another playoff berth

The Vegas Golden Knights, with ex-Bruins coach Bruce Cassidy in charge, on Friday night locked down the eighth and final Western Conference playoff berth. Entering the 8:20 puck drop here, the last two Eastern berths remained up for grabs among the Penguins, Islanders, Red Wings, and Capitals. The Flyers also remained in the hunt, but began the day having played the most games (80) of the “wannabe” bunch. It’s possible the Bruins won’t know their Round 1 opponent until the East wraps up regular-season play Wednesday, a night that has the Penguins playing the Islanders in Elmont, N.Y. …The Bruins will enjoy a day of rest in D.C. on Sunday, face the Caps there the next night, then return for the season wrap Tuesday night vs. Ottawa on Causeway Street ... In his 451 regular-season games prior to facing the Penguins, McAvoy had 12 power-play goals. Shattenkirk, playing in game No. 950, entered with 44.

Kevin Paul Dupont can be reached at [email protected] .